Set up a proportion.
The total side of the “top” line is 8 + 10 = 18. The total side of the “bottom” line is 45. This makes the ratio 18/45.
Now we are trying to find the “larger” bottom segment, let it be x. Because the lines are parallel, the ratio of the “larger” top and bottom segments is equal to the ratio of the whole top and bottom lines.
So 18/45 = 10/x
Reduce 2/5 = 10/x
Cross multiply 2x = 50
Solve x = 25
Answer:
$175
Step-by-step explanation:
let the original price be x
if 1/5 is off the price then the sells is at 4/5
4/5 of x = 140
thus,
4/5* x=140
4x = 140*5
x=700/4
x=$175
Answer:
11
Step-by-step explanation:
(Note that the diagram is not to scale)
You know BC is 6
You know DC is 5
You know CE is 12
Using K's position, it shows that AC is one off from EC
AC=11
The triangle inequality applies.
In order for ACD to be a triangle, the length of AC must lie between CD-DA=0 and CD+DA=8.
In order for ABD to be a triangle, the length of AC must lie between BC-AB=3 and BC+AB=9.
The values common to both these restrictions are numbers between 3 and 8. Assuming we don't want the diagonal to be coincident with any sides, its integer length will be one of ...
{4, 5, 6, 7}
A because the square is in the (10) place and the circle is in the (1) place and 10 is 10 times bigger than 1